18.106 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.030 * * * [progress]: [2/2] Setting up program. 0.036 * [progress]: [Phase 2 of 3] Improving. 0.036 * [simplify]: Simplifying: (sqrt (+ (* x x) y)) 0.036 * * [simplify]: iteration 0: 5 enodes 0.038 * * [simplify]: iteration 1: 6 enodes 0.039 * * [simplify]: iteration complete: 6 enodes 0.039 * * [simplify]: Extracting #0: cost 1 inf + 0 0.039 * * [simplify]: Extracting #1: cost 2 inf + 0 0.039 * * [simplify]: Extracting #2: cost 4 inf + 0 0.039 * * [simplify]: Extracting #3: cost 4 inf + 1 0.039 * * [simplify]: Extracting #4: cost 3 inf + 2 0.039 * * [simplify]: Extracting #5: cost 0 inf + 16 0.039 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.040 * * [progress]: iteration 1 / 4 0.040 * * * [progress]: picking best candidate 0.045 * * * * [pick]: Picked # 0.046 * * * [progress]: localizing error 0.059 * * * [progress]: generating rewritten candidates 0.059 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.075 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.087 * * * [progress]: generating series expansions 0.087 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.087 * [backup-simplify]: Simplify (sqrt (+ (* x x) y)) into (sqrt (+ (pow x 2) y)) 0.087 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.087 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.087 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.088 * [taylor]: Taking taylor expansion of x in y 0.088 * [backup-simplify]: Simplify x into x 0.088 * [taylor]: Taking taylor expansion of y in y 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.088 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.088 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.088 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.089 * [backup-simplify]: Simplify (+ 0 1) into 1 0.089 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (pow x 2)))) into (/ 1/2 x) 0.089 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.089 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [backup-simplify]: Simplify y into y 0.089 * [backup-simplify]: Simplify (+ 0 y) into y 0.089 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.090 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.090 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.090 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [taylor]: Taking taylor expansion of y in x 0.090 * [backup-simplify]: Simplify y into y 0.090 * [backup-simplify]: Simplify (+ 0 y) into y 0.090 * [backup-simplify]: Simplify (sqrt y) into (sqrt y) 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt y))) into 0 0.091 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (sqrt 0) into 0 0.092 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.093 * [backup-simplify]: Simplify (* 1 1) into 1 0.093 * [backup-simplify]: Simplify (+ 1 0) into 1 0.094 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt y))) into (* 1/2 (sqrt (/ 1 y))) 0.094 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.094 * [taylor]: Taking taylor expansion of 1/2 in y 0.094 * [backup-simplify]: Simplify 1/2 into 1/2 0.094 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.094 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.094 * [taylor]: Taking taylor expansion of y in y 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify (/ 1 1) into 1 0.095 * [backup-simplify]: Simplify (sqrt 0) into 0 0.096 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.098 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 0.107 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.107 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.110 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.111 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* y 1) 2)) (+ (* (- +nan.0) (pow (* 1 x) 2)) (* +nan.0 (* y 1)))) into (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) 0.111 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) 0.111 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.111 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.112 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.112 * [taylor]: Taking taylor expansion of x in y 0.112 * [backup-simplify]: Simplify x into x 0.112 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.112 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.112 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.112 * [taylor]: Taking taylor expansion of y in y 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify (/ 1 1) into 1 0.113 * [backup-simplify]: Simplify (+ 0 1) into 1 0.113 * [backup-simplify]: Simplify (sqrt 0) into 0 0.114 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.114 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.114 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 1 into 1 0.115 * [backup-simplify]: Simplify (* 1 1) into 1 0.115 * [backup-simplify]: Simplify (/ 1 1) into 1 0.115 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.115 * [taylor]: Taking taylor expansion of y in x 0.115 * [backup-simplify]: Simplify y into y 0.115 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.115 * [backup-simplify]: Simplify (+ 1 0) into 1 0.116 * [backup-simplify]: Simplify (sqrt 1) into 1 0.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.117 * [backup-simplify]: Simplify (+ 0 0) into 0 0.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.118 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.118 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (* 1 1) into 1 0.119 * [backup-simplify]: Simplify (/ 1 1) into 1 0.119 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.119 * [taylor]: Taking taylor expansion of y in x 0.119 * [backup-simplify]: Simplify y into y 0.119 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.119 * [backup-simplify]: Simplify (+ 1 0) into 1 0.119 * [backup-simplify]: Simplify (sqrt 1) into 1 0.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.121 * [backup-simplify]: Simplify (+ 0 0) into 0 0.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.122 * [taylor]: Taking taylor expansion of 1 in y 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [taylor]: Taking taylor expansion of 0 in y 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.124 * [backup-simplify]: Simplify (/ (- (/ 1 y) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 y) 0.124 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.124 * [taylor]: Taking taylor expansion of 1/2 in y 0.125 * [backup-simplify]: Simplify 1/2 into 1/2 0.125 * [taylor]: Taking taylor expansion of y in y 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.125 * [backup-simplify]: Simplify 1/2 into 1/2 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.128 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 1)) into 0 0.128 * [taylor]: Taking taylor expansion of 0 in y 0.128 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.131 * [backup-simplify]: Simplify (+ 0 0) into 0 0.132 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.133 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.133 * [taylor]: Taking taylor expansion of -1/8 in y 0.133 * [backup-simplify]: Simplify -1/8 into -1/8 0.133 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.133 * [taylor]: Taking taylor expansion of y in y 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify (* 1 1) into 1 0.133 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* 1 (* 1 (/ 1 (/ 1 x))))) into (+ x (* 1/2 (/ y x))) 0.135 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) into (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) 0.135 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.135 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.135 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.135 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.135 * [taylor]: Taking taylor expansion of x in y 0.136 * [backup-simplify]: Simplify x into x 0.136 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.136 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.136 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.136 * [taylor]: Taking taylor expansion of y in y 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (/ 1 1) into 1 0.137 * [backup-simplify]: Simplify (- 1) into -1 0.137 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.137 * [backup-simplify]: Simplify (sqrt 0) into 0 0.138 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.139 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.139 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.139 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (* 1 1) into 1 0.139 * [backup-simplify]: Simplify (/ 1 1) into 1 0.139 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.139 * [taylor]: Taking taylor expansion of y in x 0.139 * [backup-simplify]: Simplify y into y 0.139 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.140 * [backup-simplify]: Simplify (+ 1 0) into 1 0.140 * [backup-simplify]: Simplify (sqrt 1) into 1 0.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify (+ 0 0) into 0 0.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.142 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.142 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.142 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (* 1 1) into 1 0.143 * [backup-simplify]: Simplify (/ 1 1) into 1 0.143 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [backup-simplify]: Simplify y into y 0.143 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.144 * [backup-simplify]: Simplify (+ 1 0) into 1 0.144 * [backup-simplify]: Simplify (sqrt 1) into 1 0.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.146 * [taylor]: Taking taylor expansion of 1 in y 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [taylor]: Taking taylor expansion of 0 in y 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.148 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.149 * [backup-simplify]: Simplify (/ (- (- (/ 1 y)) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 y) 0.149 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.149 * [taylor]: Taking taylor expansion of -1/2 in y 0.149 * [backup-simplify]: Simplify -1/2 into -1/2 0.149 * [taylor]: Taking taylor expansion of y in y 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 0.150 * [backup-simplify]: Simplify -1/2 into -1/2 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.152 * [backup-simplify]: Simplify (- 0) into 0 0.152 * [backup-simplify]: Simplify (+ 0 0) into 0 0.153 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 y))))) (* 2 1)) into 0 0.153 * [taylor]: Taking taylor expansion of 0 in y 0.153 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.156 * [backup-simplify]: Simplify (- 0) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -1/2 y) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 2)) 0.157 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.157 * [taylor]: Taking taylor expansion of -1/8 in y 0.157 * [backup-simplify]: Simplify -1/8 into -1/8 0.158 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.158 * [taylor]: Taking taylor expansion of y in y 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [backup-simplify]: Simplify (* 1 1) into 1 0.158 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 0.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 0.160 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.160 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 0.160 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.160 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.160 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.160 * [taylor]: Taking taylor expansion of x in y 0.160 * [backup-simplify]: Simplify x into x 0.160 * [taylor]: Taking taylor expansion of y in y 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.160 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [taylor]: Taking taylor expansion of y in x 0.160 * [backup-simplify]: Simplify y into y 0.161 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.161 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [taylor]: Taking taylor expansion of y in x 0.161 * [backup-simplify]: Simplify y into y 0.161 * [backup-simplify]: Simplify (+ 0 y) into y 0.161 * [taylor]: Taking taylor expansion of y in y 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [taylor]: Taking taylor expansion of 0 in y 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (* 1 1) into 1 0.162 * [backup-simplify]: Simplify (+ 1 0) into 1 0.162 * [taylor]: Taking taylor expansion of 1 in y 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.163 * [backup-simplify]: Simplify (+ 0 0) into 0 0.163 * [taylor]: Taking taylor expansion of 0 in y 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 0.164 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.164 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.164 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.164 * [taylor]: Taking taylor expansion of x in y 0.164 * [backup-simplify]: Simplify x into x 0.164 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.164 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.164 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.164 * [taylor]: Taking taylor expansion of y in y 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (/ 1 1) into 1 0.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.165 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (* 1 1) into 1 0.165 * [backup-simplify]: Simplify (/ 1 1) into 1 0.165 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.165 * [taylor]: Taking taylor expansion of y in x 0.165 * [backup-simplify]: Simplify y into y 0.165 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.166 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (* 1 1) into 1 0.166 * [backup-simplify]: Simplify (/ 1 1) into 1 0.166 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.166 * [taylor]: Taking taylor expansion of y in x 0.166 * [backup-simplify]: Simplify y into y 0.166 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.167 * [backup-simplify]: Simplify (+ 1 0) into 1 0.167 * [taylor]: Taking taylor expansion of 1 in y 0.167 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (+ 0 0) into 0 0.169 * [taylor]: Taking taylor expansion of 0 in y 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.171 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.171 * [taylor]: Taking taylor expansion of y in y 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (/ 1 1) into 1 0.171 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.173 * [backup-simplify]: Simplify (+ 0 0) into 0 0.174 * [taylor]: Taking taylor expansion of 0 in y 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.177 * [backup-simplify]: Simplify (+ 0 0) into 0 0.177 * [taylor]: Taking taylor expansion of 0 in y 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 0.177 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.177 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.177 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.178 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.178 * [taylor]: Taking taylor expansion of x in y 0.178 * [backup-simplify]: Simplify x into x 0.178 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.178 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.178 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.178 * [taylor]: Taking taylor expansion of y in y 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (/ 1 1) into 1 0.178 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.178 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (* 1 1) into 1 0.179 * [backup-simplify]: Simplify (/ 1 1) into 1 0.179 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.179 * [taylor]: Taking taylor expansion of y in x 0.179 * [backup-simplify]: Simplify y into y 0.179 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.179 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.180 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (* 1 1) into 1 0.180 * [backup-simplify]: Simplify (/ 1 1) into 1 0.180 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.180 * [taylor]: Taking taylor expansion of y in x 0.180 * [backup-simplify]: Simplify y into y 0.180 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.181 * [backup-simplify]: Simplify (+ 1 0) into 1 0.181 * [taylor]: Taking taylor expansion of 1 in y 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.182 * [backup-simplify]: Simplify (+ 0 0) into 0 0.182 * [taylor]: Taking taylor expansion of 0 in y 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.184 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.184 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.184 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.184 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.184 * [taylor]: Taking taylor expansion of y in y 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (/ 1 1) into 1 0.185 * [backup-simplify]: Simplify (- 1) into -1 0.185 * [backup-simplify]: Simplify -1 into -1 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.187 * [backup-simplify]: Simplify (- 0) into 0 0.188 * [backup-simplify]: Simplify (+ 0 0) into 0 0.188 * [taylor]: Taking taylor expansion of 0 in y 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (- 0) into 0 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.191 * [backup-simplify]: Simplify (- 0) into 0 0.191 * [backup-simplify]: Simplify (+ 0 0) into 0 0.191 * [taylor]: Taking taylor expansion of 0 in y 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 0.192 * * * [progress]: simplifying candidates 0.193 * [simplify]: Simplifying: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (- (+ (* +nan.0 (pow y 2)) (- (+ (* +nan.0 (pow x 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.194 * * [simplify]: iteration 0: 59 enodes 0.212 * * [simplify]: iteration 1: 154 enodes 0.287 * * [simplify]: iteration 2: 697 enodes 1.045 * * [simplify]: iteration complete: 5000 enodes 1.045 * * [simplify]: Extracting #0: cost 29 inf + 0 1.046 * * [simplify]: Extracting #1: cost 303 inf + 2 1.049 * * [simplify]: Extracting #2: cost 1664 inf + 152 1.056 * * [simplify]: Extracting #3: cost 1097 inf + 7499 1.063 * * [simplify]: Extracting #4: cost 66 inf + 15136 1.074 * * [simplify]: Extracting #5: cost 12 inf + 15433 1.087 * * [simplify]: Extracting #6: cost 0 inf + 15504 1.101 * [simplify]: Simplified to: (log (sqrt (+ (pow x 2) y))) (exp (sqrt (+ (pow x 2) y))) (* (cbrt (sqrt (+ (pow x 2) y))) (cbrt (sqrt (+ (pow x 2) y)))) (cbrt (sqrt (+ (pow x 2) y))) (pow (sqrt (+ (pow x 2) y)) 3) (fabs (cbrt (+ (pow x 2) y))) (sqrt (cbrt (+ (pow x 2) y))) (sqrt (sqrt (+ (pow x 2) y))) (sqrt (sqrt (+ (pow x 2) y))) 1 (sqrt (+ (pow x 2) y)) (sqrt (+ (pow y 3) (pow x 6))) (sqrt (+ (pow x 4) (* y (- y (pow x 2))))) (sqrt (- (pow x 4) (* y y))) (sqrt (- (pow x 2) y)) 1/2 (sqrt (sqrt (+ (pow x 2) y))) (sqrt (sqrt (+ (pow x 2) y))) (exp (+ (pow x 2) y)) (log (+ (pow x 2) y)) (exp (+ (pow x 2) y)) (* (cbrt (+ (pow x 2) y)) (cbrt (+ (pow x 2) y))) (cbrt (+ (pow x 2) y)) (pow (+ (pow x 2) y) 3) (sqrt (+ (pow x 2) y)) (sqrt (+ (pow x 2) y)) (+ (pow y 3) (pow x 6)) (+ (pow x 4) (* y (- y (pow x 2)))) (- (pow x 4) (* y y)) (- (pow x 2) y) (* +nan.0 (+ (- (pow x 2) y) (- (* y y)))) (+ (/ (* 1/2 y) x) x) (- (/ -1/2 (/ x y)) x) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 1.101 * * * [progress]: adding candidates to table 1.301 * * [progress]: iteration 2 / 4 1.301 * * * [progress]: picking best candidate 1.305 * * * * [pick]: Picked # 1.305 * * * [progress]: localizing error 1.312 * * * [progress]: generating rewritten candidates 1.312 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.328 * * * [progress]: generating series expansions 1.328 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.329 * [backup-simplify]: Simplify (+ (/ (* 1/2 y) x) x) into (+ x (* 1/2 (/ y x))) 1.329 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (y x) around 0 1.329 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 1.329 * [taylor]: Taking taylor expansion of x in x 1.329 * [backup-simplify]: Simplify 0 into 0 1.329 * [backup-simplify]: Simplify 1 into 1 1.329 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 1.329 * [taylor]: Taking taylor expansion of 1/2 in x 1.329 * [backup-simplify]: Simplify 1/2 into 1/2 1.329 * [taylor]: Taking taylor expansion of (/ y x) in x 1.329 * [taylor]: Taking taylor expansion of y in x 1.329 * [backup-simplify]: Simplify y into y 1.329 * [taylor]: Taking taylor expansion of x in x 1.329 * [backup-simplify]: Simplify 0 into 0 1.329 * [backup-simplify]: Simplify 1 into 1 1.329 * [backup-simplify]: Simplify (/ y 1) into y 1.329 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 1.329 * [taylor]: Taking taylor expansion of x in y 1.329 * [backup-simplify]: Simplify x into x 1.329 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 1.329 * [taylor]: Taking taylor expansion of 1/2 in y 1.329 * [backup-simplify]: Simplify 1/2 into 1/2 1.329 * [taylor]: Taking taylor expansion of (/ y x) in y 1.329 * [taylor]: Taking taylor expansion of y in y 1.329 * [backup-simplify]: Simplify 0 into 0 1.329 * [backup-simplify]: Simplify 1 into 1 1.330 * [taylor]: Taking taylor expansion of x in y 1.330 * [backup-simplify]: Simplify x into x 1.330 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.330 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 1.330 * [taylor]: Taking taylor expansion of x in y 1.330 * [backup-simplify]: Simplify x into x 1.330 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 1.330 * [taylor]: Taking taylor expansion of 1/2 in y 1.330 * [backup-simplify]: Simplify 1/2 into 1/2 1.330 * [taylor]: Taking taylor expansion of (/ y x) in y 1.330 * [taylor]: Taking taylor expansion of y in y 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [backup-simplify]: Simplify 1 into 1 1.330 * [taylor]: Taking taylor expansion of x in y 1.330 * [backup-simplify]: Simplify x into x 1.330 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.330 * [backup-simplify]: Simplify (+ x 0) into x 1.330 * [taylor]: Taking taylor expansion of x in x 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [backup-simplify]: Simplify 1 into 1 1.330 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x) 1.330 * [backup-simplify]: Simplify (+ 0 (/ 1/2 x)) into (* 1/2 (/ 1 x)) 1.330 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 1.330 * [taylor]: Taking taylor expansion of 1/2 in x 1.330 * [backup-simplify]: Simplify 1/2 into 1/2 1.330 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.330 * [taylor]: Taking taylor expansion of x in x 1.331 * [backup-simplify]: Simplify 0 into 0 1.331 * [backup-simplify]: Simplify 1 into 1 1.331 * [backup-simplify]: Simplify (/ 1 1) into 1 1.332 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.332 * [backup-simplify]: Simplify 1/2 into 1/2 1.332 * [backup-simplify]: Simplify 0 into 0 1.332 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)))) into 0 1.333 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 x))) into 0 1.333 * [backup-simplify]: Simplify (+ 0 0) into 0 1.333 * [taylor]: Taking taylor expansion of 0 in x 1.333 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.335 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.335 * [backup-simplify]: Simplify 0 into 0 1.335 * [backup-simplify]: Simplify 1 into 1 1.335 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.336 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 1.336 * [backup-simplify]: Simplify (+ 0 0) into 0 1.336 * [taylor]: Taking taylor expansion of 0 in x 1.336 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.338 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.340 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 1.340 * [backup-simplify]: Simplify (+ 0 0) into 0 1.340 * [taylor]: Taking taylor expansion of 0 in x 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify 0 into 0 1.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.343 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.343 * [backup-simplify]: Simplify 0 into 0 1.343 * [backup-simplify]: Simplify (+ (* 1 (* x 1)) (* 1/2 (* (/ 1 x) y))) into (+ x (* 1/2 (/ y x))) 1.343 * [backup-simplify]: Simplify (+ (/ (* 1/2 (/ 1 y)) (/ 1 x)) (/ 1 x)) into (+ (* 1/2 (/ x y)) (/ 1 x)) 1.343 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (y x) around 0 1.343 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 1.343 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.343 * [taylor]: Taking taylor expansion of 1/2 in x 1.343 * [backup-simplify]: Simplify 1/2 into 1/2 1.343 * [taylor]: Taking taylor expansion of (/ x y) in x 1.343 * [taylor]: Taking taylor expansion of x in x 1.343 * [backup-simplify]: Simplify 0 into 0 1.343 * [backup-simplify]: Simplify 1 into 1 1.343 * [taylor]: Taking taylor expansion of y in x 1.343 * [backup-simplify]: Simplify y into y 1.343 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.343 * [taylor]: Taking taylor expansion of x in x 1.343 * [backup-simplify]: Simplify 0 into 0 1.344 * [backup-simplify]: Simplify 1 into 1 1.344 * [backup-simplify]: Simplify (/ 1 1) into 1 1.344 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 1.344 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.344 * [taylor]: Taking taylor expansion of 1/2 in y 1.344 * [backup-simplify]: Simplify 1/2 into 1/2 1.344 * [taylor]: Taking taylor expansion of (/ x y) in y 1.344 * [taylor]: Taking taylor expansion of x in y 1.344 * [backup-simplify]: Simplify x into x 1.344 * [taylor]: Taking taylor expansion of y in y 1.344 * [backup-simplify]: Simplify 0 into 0 1.344 * [backup-simplify]: Simplify 1 into 1 1.344 * [backup-simplify]: Simplify (/ x 1) into x 1.344 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.344 * [taylor]: Taking taylor expansion of x in y 1.344 * [backup-simplify]: Simplify x into x 1.344 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.344 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 1.344 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.344 * [taylor]: Taking taylor expansion of 1/2 in y 1.344 * [backup-simplify]: Simplify 1/2 into 1/2 1.345 * [taylor]: Taking taylor expansion of (/ x y) in y 1.345 * [taylor]: Taking taylor expansion of x in y 1.345 * [backup-simplify]: Simplify x into x 1.345 * [taylor]: Taking taylor expansion of y in y 1.345 * [backup-simplify]: Simplify 0 into 0 1.345 * [backup-simplify]: Simplify 1 into 1 1.345 * [backup-simplify]: Simplify (/ x 1) into x 1.345 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.345 * [taylor]: Taking taylor expansion of x in y 1.345 * [backup-simplify]: Simplify x into x 1.345 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.345 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 1.345 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x) 1.345 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 1.345 * [taylor]: Taking taylor expansion of 1/2 in x 1.345 * [backup-simplify]: Simplify 1/2 into 1/2 1.345 * [taylor]: Taking taylor expansion of x in x 1.345 * [backup-simplify]: Simplify 0 into 0 1.345 * [backup-simplify]: Simplify 1 into 1 1.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 1.347 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 1.347 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 1.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.347 * [taylor]: Taking taylor expansion of x in x 1.347 * [backup-simplify]: Simplify 0 into 0 1.347 * [backup-simplify]: Simplify 1 into 1 1.347 * [backup-simplify]: Simplify (/ 1 1) into 1 1.347 * [backup-simplify]: Simplify 1 into 1 1.348 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.348 * [backup-simplify]: Simplify 0 into 0 1.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.350 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 1.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.350 * [backup-simplify]: Simplify (+ 0 0) into 0 1.350 * [taylor]: Taking taylor expansion of 0 in x 1.350 * [backup-simplify]: Simplify 0 into 0 1.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.351 * [backup-simplify]: Simplify 0 into 0 1.352 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.352 * [backup-simplify]: Simplify 1/2 into 1/2 1.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.355 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 1.355 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.356 * [backup-simplify]: Simplify (+ 0 0) into 0 1.356 * [taylor]: Taking taylor expansion of 0 in x 1.356 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify 0 into 0 1.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.357 * [backup-simplify]: Simplify 0 into 0 1.358 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.358 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.361 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 1.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.362 * [backup-simplify]: Simplify (+ 0 0) into 0 1.362 * [taylor]: Taking taylor expansion of 0 in x 1.362 * [backup-simplify]: Simplify 0 into 0 1.362 * [backup-simplify]: Simplify 0 into 0 1.362 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 x) (/ 1 (/ 1 y)))) (* 1 (* (/ 1 (/ 1 x)) 1))) into (+ x (* 1/2 (/ y x))) 1.364 * [backup-simplify]: Simplify (+ (/ (* 1/2 (/ 1 (- y))) (/ 1 (- x))) (/ 1 (- x))) into (- (* 1/2 (/ x y)) (/ 1 x)) 1.364 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (y x) around 0 1.364 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 1.364 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.364 * [taylor]: Taking taylor expansion of 1/2 in x 1.364 * [backup-simplify]: Simplify 1/2 into 1/2 1.364 * [taylor]: Taking taylor expansion of (/ x y) in x 1.364 * [taylor]: Taking taylor expansion of x in x 1.364 * [backup-simplify]: Simplify 0 into 0 1.364 * [backup-simplify]: Simplify 1 into 1 1.364 * [taylor]: Taking taylor expansion of y in x 1.364 * [backup-simplify]: Simplify y into y 1.364 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.364 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.364 * [taylor]: Taking taylor expansion of x in x 1.364 * [backup-simplify]: Simplify 0 into 0 1.364 * [backup-simplify]: Simplify 1 into 1 1.365 * [backup-simplify]: Simplify (/ 1 1) into 1 1.365 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y 1.365 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.365 * [taylor]: Taking taylor expansion of 1/2 in y 1.365 * [backup-simplify]: Simplify 1/2 into 1/2 1.365 * [taylor]: Taking taylor expansion of (/ x y) in y 1.365 * [taylor]: Taking taylor expansion of x in y 1.365 * [backup-simplify]: Simplify x into x 1.365 * [taylor]: Taking taylor expansion of y in y 1.365 * [backup-simplify]: Simplify 0 into 0 1.365 * [backup-simplify]: Simplify 1 into 1 1.365 * [backup-simplify]: Simplify (/ x 1) into x 1.365 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.365 * [taylor]: Taking taylor expansion of x in y 1.365 * [backup-simplify]: Simplify x into x 1.365 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.365 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y 1.365 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.365 * [taylor]: Taking taylor expansion of 1/2 in y 1.365 * [backup-simplify]: Simplify 1/2 into 1/2 1.365 * [taylor]: Taking taylor expansion of (/ x y) in y 1.365 * [taylor]: Taking taylor expansion of x in y 1.365 * [backup-simplify]: Simplify x into x 1.365 * [taylor]: Taking taylor expansion of y in y 1.365 * [backup-simplify]: Simplify 0 into 0 1.365 * [backup-simplify]: Simplify 1 into 1 1.365 * [backup-simplify]: Simplify (/ x 1) into x 1.366 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.366 * [taylor]: Taking taylor expansion of x in y 1.366 * [backup-simplify]: Simplify x into x 1.366 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.366 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 1.366 * [backup-simplify]: Simplify (+ (* 1/2 x) 0) into (* 1/2 x) 1.366 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 1.366 * [taylor]: Taking taylor expansion of 1/2 in x 1.366 * [backup-simplify]: Simplify 1/2 into 1/2 1.366 * [taylor]: Taking taylor expansion of x in x 1.366 * [backup-simplify]: Simplify 0 into 0 1.366 * [backup-simplify]: Simplify 1 into 1 1.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)))) into 0 1.367 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 x)) into 0 1.367 * [backup-simplify]: Simplify (- (/ 1 x)) into (- (/ 1 x)) 1.368 * [backup-simplify]: Simplify (+ 0 (- (/ 1 x))) into (- (/ 1 x)) 1.368 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 1.368 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.368 * [taylor]: Taking taylor expansion of x in x 1.368 * [backup-simplify]: Simplify 0 into 0 1.368 * [backup-simplify]: Simplify 1 into 1 1.368 * [backup-simplify]: Simplify (/ 1 1) into 1 1.368 * [backup-simplify]: Simplify (- 1) into -1 1.369 * [backup-simplify]: Simplify -1 into -1 1.369 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.369 * [backup-simplify]: Simplify 0 into 0 1.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.371 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x))) into 0 1.371 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.372 * [backup-simplify]: Simplify (- 0) into 0 1.372 * [backup-simplify]: Simplify (+ 0 0) into 0 1.372 * [taylor]: Taking taylor expansion of 0 in x 1.372 * [backup-simplify]: Simplify 0 into 0 1.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.373 * [backup-simplify]: Simplify (- 0) into 0 1.373 * [backup-simplify]: Simplify 0 into 0 1.374 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.374 * [backup-simplify]: Simplify 1/2 into 1/2 1.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.377 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 1.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.377 * [backup-simplify]: Simplify (- 0) into 0 1.378 * [backup-simplify]: Simplify (+ 0 0) into 0 1.378 * [taylor]: Taking taylor expansion of 0 in x 1.378 * [backup-simplify]: Simplify 0 into 0 1.378 * [backup-simplify]: Simplify 0 into 0 1.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.379 * [backup-simplify]: Simplify (- 0) into 0 1.379 * [backup-simplify]: Simplify 0 into 0 1.380 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.380 * [backup-simplify]: Simplify 0 into 0 1.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.384 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 1.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.385 * [backup-simplify]: Simplify (- 0) into 0 1.385 * [backup-simplify]: Simplify (+ 0 0) into 0 1.385 * [taylor]: Taking taylor expansion of 0 in x 1.385 * [backup-simplify]: Simplify 0 into 0 1.385 * [backup-simplify]: Simplify 0 into 0 1.385 * [backup-simplify]: Simplify 0 into 0 1.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.387 * [backup-simplify]: Simplify (- 0) into 0 1.387 * [backup-simplify]: Simplify 0 into 0 1.387 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- x)) (/ 1 (/ 1 (- y))))) (* -1 (* (/ 1 (/ 1 (- x))) 1))) into (+ x (* 1/2 (/ y x))) 1.387 * * * [progress]: simplifying candidates 1.388 * [simplify]: Simplifying: (* (exp (/ (* 1/2 y) x)) (exp x)) (log (+ (/ (* 1/2 y) x) x)) (exp (+ (/ (* 1/2 y) x) x)) (* (cbrt (+ (/ (* 1/2 y) x) x)) (cbrt (+ (/ (* 1/2 y) x) x))) (cbrt (+ (/ (* 1/2 y) x) x)) (* (* (+ (/ (* 1/2 y) x) x) (+ (/ (* 1/2 y) x) x)) (+ (/ (* 1/2 y) x) x)) (sqrt (+ (/ (* 1/2 y) x) x)) (sqrt (+ (/ (* 1/2 y) x) x)) (+ (pow (/ (* 1/2 y) x) 3) (pow x 3)) (+ (* (/ (* 1/2 y) x) (/ (* 1/2 y) x)) (- (* x x) (* (/ (* 1/2 y) x) x))) (- (* (/ (* 1/2 y) x) (/ (* 1/2 y) x)) (* x x)) (- (/ (* 1/2 y) x) x) (+ (/ (* 1/2 y) x) x) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 1.388 * * [simplify]: iteration 0: 30 enodes 1.399 * * [simplify]: iteration 1: 83 enodes 1.444 * * [simplify]: iteration 2: 391 enodes 1.826 * * [simplify]: iteration 3: 2323 enodes 2.672 * * [simplify]: iteration complete: 5000 enodes 2.672 * * [simplify]: Extracting #0: cost 11 inf + 0 2.673 * * [simplify]: Extracting #1: cost 87 inf + 0 2.675 * * [simplify]: Extracting #2: cost 699 inf + 13 2.684 * * [simplify]: Extracting #3: cost 1645 inf + 538 2.702 * * [simplify]: Extracting #4: cost 841 inf + 9881 2.714 * * [simplify]: Extracting #5: cost 131 inf + 19691 2.726 * * [simplify]: Extracting #6: cost 20 inf + 20824 2.738 * * [simplify]: Extracting #7: cost 0 inf + 20976 2.750 * [simplify]: Simplified to: (* (sqrt (exp (/ y x))) (exp x)) (log (+ x (/ (* 1/2 y) x))) (* (sqrt (exp (/ y x))) (exp x)) (* (cbrt (+ x (/ (* 1/2 y) x))) (cbrt (+ x (/ (* 1/2 y) x)))) (cbrt (+ x (/ (* 1/2 y) x))) (pow (+ x (/ (* 1/2 y) x)) 3) (sqrt (+ x (/ (* 1/2 y) x))) (sqrt (+ x (/ (* 1/2 y) x))) (+ (* (pow (/ y x) 3) 1/8) (pow x 3)) (+ (* (/ (* 1/2 y) x) (- (/ (* 1/2 y) x) x)) (* x x)) (- (* (* 1/4 (/ y x)) (/ y x)) (* x x)) (- (/ (* 1/2 y) x) x) (+ x (/ (* 1/2 y) x)) (+ x (/ (* 1/2 y) x)) (+ x (/ (* 1/2 y) x)) (+ x (/ (* 1/2 y) x)) 2.750 * * * [progress]: adding candidates to table 2.808 * * [progress]: iteration 3 / 4 2.808 * * * [progress]: picking best candidate 2.813 * * * * [pick]: Picked # 2.813 * * * [progress]: localizing error 2.827 * * * [progress]: generating rewritten candidates 2.827 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 2.836 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 2.886 * * * [progress]: generating series expansions 2.886 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 2.886 * [backup-simplify]: Simplify (/ -1/2 (/ x y)) into (* -1/2 (/ y x)) 2.886 * [approximate]: Taking taylor expansion of (* -1/2 (/ y x)) in (x y) around 0 2.886 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 2.886 * [taylor]: Taking taylor expansion of -1/2 in y 2.887 * [backup-simplify]: Simplify -1/2 into -1/2 2.887 * [taylor]: Taking taylor expansion of (/ y x) in y 2.887 * [taylor]: Taking taylor expansion of y in y 2.887 * [backup-simplify]: Simplify 0 into 0 2.887 * [backup-simplify]: Simplify 1 into 1 2.887 * [taylor]: Taking taylor expansion of x in y 2.887 * [backup-simplify]: Simplify x into x 2.887 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.887 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x 2.887 * [taylor]: Taking taylor expansion of -1/2 in x 2.887 * [backup-simplify]: Simplify -1/2 into -1/2 2.887 * [taylor]: Taking taylor expansion of (/ y x) in x 2.887 * [taylor]: Taking taylor expansion of y in x 2.887 * [backup-simplify]: Simplify y into y 2.887 * [taylor]: Taking taylor expansion of x in x 2.887 * [backup-simplify]: Simplify 0 into 0 2.887 * [backup-simplify]: Simplify 1 into 1 2.887 * [backup-simplify]: Simplify (/ y 1) into y 2.887 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x 2.887 * [taylor]: Taking taylor expansion of -1/2 in x 2.887 * [backup-simplify]: Simplify -1/2 into -1/2 2.887 * [taylor]: Taking taylor expansion of (/ y x) in x 2.887 * [taylor]: Taking taylor expansion of y in x 2.887 * [backup-simplify]: Simplify y into y 2.887 * [taylor]: Taking taylor expansion of x in x 2.887 * [backup-simplify]: Simplify 0 into 0 2.887 * [backup-simplify]: Simplify 1 into 1 2.887 * [backup-simplify]: Simplify (/ y 1) into y 2.887 * [backup-simplify]: Simplify (* -1/2 y) into (* -1/2 y) 2.887 * [taylor]: Taking taylor expansion of (* -1/2 y) in y 2.887 * [taylor]: Taking taylor expansion of -1/2 in y 2.887 * [backup-simplify]: Simplify -1/2 into -1/2 2.887 * [taylor]: Taking taylor expansion of y in y 2.887 * [backup-simplify]: Simplify 0 into 0 2.887 * [backup-simplify]: Simplify 1 into 1 2.888 * [backup-simplify]: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 2.889 * [backup-simplify]: Simplify -1/2 into -1/2 2.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 2.890 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 y)) into 0 2.890 * [taylor]: Taking taylor expansion of 0 in y 2.890 * [backup-simplify]: Simplify 0 into 0 2.890 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 2.891 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.893 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 y))) into 0 2.893 * [taylor]: Taking taylor expansion of 0 in y 2.893 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify 0 into 0 2.894 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.894 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.897 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.897 * [taylor]: Taking taylor expansion of 0 in y 2.897 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify (* -1/2 (* y (/ 1 x))) into (* -1/2 (/ y x)) 2.897 * [backup-simplify]: Simplify (/ -1/2 (/ (/ 1 x) (/ 1 y))) into (* -1/2 (/ x y)) 2.897 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (x y) around 0 2.897 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 2.897 * [taylor]: Taking taylor expansion of -1/2 in y 2.897 * [backup-simplify]: Simplify -1/2 into -1/2 2.897 * [taylor]: Taking taylor expansion of (/ x y) in y 2.897 * [taylor]: Taking taylor expansion of x in y 2.897 * [backup-simplify]: Simplify x into x 2.897 * [taylor]: Taking taylor expansion of y in y 2.897 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify 1 into 1 2.897 * [backup-simplify]: Simplify (/ x 1) into x 2.897 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 2.897 * [taylor]: Taking taylor expansion of -1/2 in x 2.897 * [backup-simplify]: Simplify -1/2 into -1/2 2.898 * [taylor]: Taking taylor expansion of (/ x y) in x 2.898 * [taylor]: Taking taylor expansion of x in x 2.898 * [backup-simplify]: Simplify 0 into 0 2.898 * [backup-simplify]: Simplify 1 into 1 2.898 * [taylor]: Taking taylor expansion of y in x 2.898 * [backup-simplify]: Simplify y into y 2.898 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.898 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 2.898 * [taylor]: Taking taylor expansion of -1/2 in x 2.898 * [backup-simplify]: Simplify -1/2 into -1/2 2.898 * [taylor]: Taking taylor expansion of (/ x y) in x 2.898 * [taylor]: Taking taylor expansion of x in x 2.898 * [backup-simplify]: Simplify 0 into 0 2.898 * [backup-simplify]: Simplify 1 into 1 2.898 * [taylor]: Taking taylor expansion of y in x 2.898 * [backup-simplify]: Simplify y into y 2.898 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.898 * [backup-simplify]: Simplify (* -1/2 (/ 1 y)) into (/ -1/2 y) 2.898 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 2.898 * [taylor]: Taking taylor expansion of -1/2 in y 2.898 * [backup-simplify]: Simplify -1/2 into -1/2 2.898 * [taylor]: Taking taylor expansion of y in y 2.898 * [backup-simplify]: Simplify 0 into 0 2.898 * [backup-simplify]: Simplify 1 into 1 2.899 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.899 * [backup-simplify]: Simplify -1/2 into -1/2 2.899 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 2.899 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (/ 1 y))) into 0 2.899 * [taylor]: Taking taylor expansion of 0 in y 2.899 * [backup-simplify]: Simplify 0 into 0 2.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 2.900 * [backup-simplify]: Simplify 0 into 0 2.901 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.901 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 2.901 * [taylor]: Taking taylor expansion of 0 in y 2.901 * [backup-simplify]: Simplify 0 into 0 2.901 * [backup-simplify]: Simplify 0 into 0 2.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.903 * [backup-simplify]: Simplify 0 into 0 2.903 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.905 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 2.905 * [taylor]: Taking taylor expansion of 0 in y 2.905 * [backup-simplify]: Simplify 0 into 0 2.905 * [backup-simplify]: Simplify 0 into 0 2.905 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.906 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) into (* -1/2 (/ y x)) 2.907 * [backup-simplify]: Simplify (/ -1/2 (/ (/ 1 (- x)) (/ 1 (- y)))) into (* -1/2 (/ x y)) 2.907 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (x y) around 0 2.907 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 2.907 * [taylor]: Taking taylor expansion of -1/2 in y 2.907 * [backup-simplify]: Simplify -1/2 into -1/2 2.907 * [taylor]: Taking taylor expansion of (/ x y) in y 2.907 * [taylor]: Taking taylor expansion of x in y 2.907 * [backup-simplify]: Simplify x into x 2.907 * [taylor]: Taking taylor expansion of y in y 2.907 * [backup-simplify]: Simplify 0 into 0 2.907 * [backup-simplify]: Simplify 1 into 1 2.907 * [backup-simplify]: Simplify (/ x 1) into x 2.907 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 2.907 * [taylor]: Taking taylor expansion of -1/2 in x 2.907 * [backup-simplify]: Simplify -1/2 into -1/2 2.907 * [taylor]: Taking taylor expansion of (/ x y) in x 2.907 * [taylor]: Taking taylor expansion of x in x 2.907 * [backup-simplify]: Simplify 0 into 0 2.907 * [backup-simplify]: Simplify 1 into 1 2.907 * [taylor]: Taking taylor expansion of y in x 2.907 * [backup-simplify]: Simplify y into y 2.907 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.907 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 2.907 * [taylor]: Taking taylor expansion of -1/2 in x 2.907 * [backup-simplify]: Simplify -1/2 into -1/2 2.907 * [taylor]: Taking taylor expansion of (/ x y) in x 2.908 * [taylor]: Taking taylor expansion of x in x 2.908 * [backup-simplify]: Simplify 0 into 0 2.908 * [backup-simplify]: Simplify 1 into 1 2.908 * [taylor]: Taking taylor expansion of y in x 2.908 * [backup-simplify]: Simplify y into y 2.908 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.908 * [backup-simplify]: Simplify (* -1/2 (/ 1 y)) into (/ -1/2 y) 2.908 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 2.908 * [taylor]: Taking taylor expansion of -1/2 in y 2.908 * [backup-simplify]: Simplify -1/2 into -1/2 2.908 * [taylor]: Taking taylor expansion of y in y 2.908 * [backup-simplify]: Simplify 0 into 0 2.908 * [backup-simplify]: Simplify 1 into 1 2.909 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 2.909 * [backup-simplify]: Simplify -1/2 into -1/2 2.909 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 2.910 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (/ 1 y))) into 0 2.910 * [taylor]: Taking taylor expansion of 0 in y 2.910 * [backup-simplify]: Simplify 0 into 0 2.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 2.911 * [backup-simplify]: Simplify 0 into 0 2.911 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.912 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 2.912 * [taylor]: Taking taylor expansion of 0 in y 2.912 * [backup-simplify]: Simplify 0 into 0 2.912 * [backup-simplify]: Simplify 0 into 0 2.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.913 * [backup-simplify]: Simplify 0 into 0 2.914 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.915 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 2.915 * [taylor]: Taking taylor expansion of 0 in y 2.915 * [backup-simplify]: Simplify 0 into 0 2.915 * [backup-simplify]: Simplify 0 into 0 2.915 * [backup-simplify]: Simplify 0 into 0 2.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.916 * [backup-simplify]: Simplify 0 into 0 2.916 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) into (* -1/2 (/ y x)) 2.916 * * * * [progress]: [ 2 / 2 ] generating series at (2) 2.917 * [backup-simplify]: Simplify (- (/ -1/2 (/ x y)) x) into (- (+ x (* 1/2 (/ y x)))) 2.917 * [approximate]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in (x y) around 0 2.917 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in y 2.917 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 2.917 * [taylor]: Taking taylor expansion of x in y 2.917 * [backup-simplify]: Simplify x into x 2.917 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 2.917 * [taylor]: Taking taylor expansion of 1/2 in y 2.917 * [backup-simplify]: Simplify 1/2 into 1/2 2.917 * [taylor]: Taking taylor expansion of (/ y x) in y 2.917 * [taylor]: Taking taylor expansion of y in y 2.917 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify 1 into 1 2.917 * [taylor]: Taking taylor expansion of x in y 2.917 * [backup-simplify]: Simplify x into x 2.917 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.917 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in x 2.917 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 2.917 * [taylor]: Taking taylor expansion of x in x 2.917 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify 1 into 1 2.917 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 2.917 * [taylor]: Taking taylor expansion of 1/2 in x 2.917 * [backup-simplify]: Simplify 1/2 into 1/2 2.917 * [taylor]: Taking taylor expansion of (/ y x) in x 2.917 * [taylor]: Taking taylor expansion of y in x 2.917 * [backup-simplify]: Simplify y into y 2.917 * [taylor]: Taking taylor expansion of x in x 2.917 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify 1 into 1 2.917 * [backup-simplify]: Simplify (/ y 1) into y 2.917 * [taylor]: Taking taylor expansion of (- (+ x (* 1/2 (/ y x)))) in x 2.917 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 2.917 * [taylor]: Taking taylor expansion of x in x 2.917 * [backup-simplify]: Simplify 0 into 0 2.918 * [backup-simplify]: Simplify 1 into 1 2.918 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 2.918 * [taylor]: Taking taylor expansion of 1/2 in x 2.918 * [backup-simplify]: Simplify 1/2 into 1/2 2.918 * [taylor]: Taking taylor expansion of (/ y x) in x 2.918 * [taylor]: Taking taylor expansion of y in x 2.918 * [backup-simplify]: Simplify y into y 2.918 * [taylor]: Taking taylor expansion of x in x 2.918 * [backup-simplify]: Simplify 0 into 0 2.918 * [backup-simplify]: Simplify 1 into 1 2.918 * [backup-simplify]: Simplify (/ y 1) into y 2.918 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 2.918 * [backup-simplify]: Simplify (+ 0 (* 1/2 y)) into (* 1/2 y) 2.918 * [backup-simplify]: Simplify (- (* 1/2 y)) into (- (* 1/2 y)) 2.918 * [taylor]: Taking taylor expansion of (- (* 1/2 y)) in y 2.918 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 2.918 * [taylor]: Taking taylor expansion of 1/2 in y 2.918 * [backup-simplify]: Simplify 1/2 into 1/2 2.918 * [taylor]: Taking taylor expansion of y in y 2.918 * [backup-simplify]: Simplify 0 into 0 2.918 * [backup-simplify]: Simplify 1 into 1 2.919 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.919 * [backup-simplify]: Simplify (- 0) into 0 2.919 * [backup-simplify]: Simplify 0 into 0 2.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 2.921 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 2.921 * [backup-simplify]: Simplify (+ 0 0) into 0 2.921 * [backup-simplify]: Simplify (- 0) into 0 2.921 * [taylor]: Taking taylor expansion of 0 in y 2.921 * [backup-simplify]: Simplify 0 into 0 2.921 * [backup-simplify]: Simplify 0 into 0 2.922 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 2.923 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.923 * [backup-simplify]: Simplify -1/2 into -1/2 2.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.924 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 2.925 * [backup-simplify]: Simplify (+ 1 0) into 1 2.925 * [backup-simplify]: Simplify (- 1) into -1 2.925 * [taylor]: Taking taylor expansion of -1 in y 2.925 * [backup-simplify]: Simplify -1 into -1 2.925 * [backup-simplify]: Simplify -1 into -1 2.925 * [backup-simplify]: Simplify 0 into 0 2.925 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 2.926 * [backup-simplify]: Simplify (- 0) into 0 2.926 * [backup-simplify]: Simplify 0 into 0 2.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.928 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.928 * [backup-simplify]: Simplify (+ 0 0) into 0 2.928 * [backup-simplify]: Simplify (- 0) into 0 2.928 * [taylor]: Taking taylor expansion of 0 in y 2.928 * [backup-simplify]: Simplify 0 into 0 2.928 * [backup-simplify]: Simplify 0 into 0 2.928 * [backup-simplify]: Simplify 0 into 0 2.928 * [backup-simplify]: Simplify 0 into 0 2.929 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.929 * [backup-simplify]: Simplify (- 0) into 0 2.929 * [backup-simplify]: Simplify 0 into 0 2.929 * [backup-simplify]: Simplify (+ (* -1 (* 1 x)) (* -1/2 (* y (/ 1 x)))) into (- (+ x (* 1/2 (/ y x)))) 2.929 * [backup-simplify]: Simplify (- (/ -1/2 (/ (/ 1 x) (/ 1 y))) (/ 1 x)) into (- (+ (* 1/2 (/ x y)) (/ 1 x))) 2.929 * [approximate]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in (x y) around 0 2.929 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in y 2.929 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 2.929 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 2.929 * [taylor]: Taking taylor expansion of 1/2 in y 2.929 * [backup-simplify]: Simplify 1/2 into 1/2 2.929 * [taylor]: Taking taylor expansion of (/ x y) in y 2.929 * [taylor]: Taking taylor expansion of x in y 2.929 * [backup-simplify]: Simplify x into x 2.929 * [taylor]: Taking taylor expansion of y in y 2.929 * [backup-simplify]: Simplify 0 into 0 2.929 * [backup-simplify]: Simplify 1 into 1 2.930 * [backup-simplify]: Simplify (/ x 1) into x 2.930 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.930 * [taylor]: Taking taylor expansion of x in y 2.930 * [backup-simplify]: Simplify x into x 2.930 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.930 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in x 2.930 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 2.930 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 2.930 * [taylor]: Taking taylor expansion of 1/2 in x 2.930 * [backup-simplify]: Simplify 1/2 into 1/2 2.930 * [taylor]: Taking taylor expansion of (/ x y) in x 2.930 * [taylor]: Taking taylor expansion of x in x 2.930 * [backup-simplify]: Simplify 0 into 0 2.930 * [backup-simplify]: Simplify 1 into 1 2.930 * [taylor]: Taking taylor expansion of y in x 2.930 * [backup-simplify]: Simplify y into y 2.930 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.930 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.930 * [taylor]: Taking taylor expansion of x in x 2.930 * [backup-simplify]: Simplify 0 into 0 2.930 * [backup-simplify]: Simplify 1 into 1 2.930 * [backup-simplify]: Simplify (/ 1 1) into 1 2.930 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ x y)) (/ 1 x))) in x 2.930 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 2.930 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 2.930 * [taylor]: Taking taylor expansion of 1/2 in x 2.930 * [backup-simplify]: Simplify 1/2 into 1/2 2.930 * [taylor]: Taking taylor expansion of (/ x y) in x 2.930 * [taylor]: Taking taylor expansion of x in x 2.930 * [backup-simplify]: Simplify 0 into 0 2.930 * [backup-simplify]: Simplify 1 into 1 2.930 * [taylor]: Taking taylor expansion of y in x 2.930 * [backup-simplify]: Simplify y into y 2.930 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.930 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.930 * [taylor]: Taking taylor expansion of x in x 2.930 * [backup-simplify]: Simplify 0 into 0 2.930 * [backup-simplify]: Simplify 1 into 1 2.931 * [backup-simplify]: Simplify (/ 1 1) into 1 2.931 * [backup-simplify]: Simplify (+ 0 1) into 1 2.931 * [backup-simplify]: Simplify (- 1) into -1 2.931 * [taylor]: Taking taylor expansion of -1 in y 2.931 * [backup-simplify]: Simplify -1 into -1 2.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.932 * [backup-simplify]: Simplify (+ 0 0) into 0 2.932 * [backup-simplify]: Simplify (- 0) into 0 2.932 * [taylor]: Taking taylor expansion of 0 in y 2.932 * [backup-simplify]: Simplify 0 into 0 2.932 * [backup-simplify]: Simplify -1 into -1 2.932 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 2.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.933 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 2.933 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 y))) into (- (* 1/2 (/ 1 y))) 2.933 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 y))) in y 2.933 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 2.933 * [taylor]: Taking taylor expansion of 1/2 in y 2.933 * [backup-simplify]: Simplify 1/2 into 1/2 2.933 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.933 * [taylor]: Taking taylor expansion of y in y 2.933 * [backup-simplify]: Simplify 0 into 0 2.933 * [backup-simplify]: Simplify 1 into 1 2.933 * [backup-simplify]: Simplify (/ 1 1) into 1 2.934 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.934 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.934 * [backup-simplify]: Simplify -1/2 into -1/2 2.934 * [backup-simplify]: Simplify 0 into 0 2.934 * [backup-simplify]: Simplify 0 into 0 2.934 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 2.934 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 2.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.935 * [backup-simplify]: Simplify (+ 0 0) into 0 2.935 * [backup-simplify]: Simplify (- 0) into 0 2.935 * [taylor]: Taking taylor expansion of 0 in y 2.936 * [backup-simplify]: Simplify 0 into 0 2.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.936 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.937 * [backup-simplify]: Simplify (- 0) into 0 2.937 * [backup-simplify]: Simplify 0 into 0 2.937 * [backup-simplify]: Simplify 0 into 0 2.937 * [backup-simplify]: Simplify 0 into 0 2.937 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.937 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 2.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.938 * [backup-simplify]: Simplify (+ 0 0) into 0 2.938 * [backup-simplify]: Simplify (- 0) into 0 2.938 * [taylor]: Taking taylor expansion of 0 in y 2.938 * [backup-simplify]: Simplify 0 into 0 2.938 * [backup-simplify]: Simplify 0 into 0 2.939 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 y)) (/ 1 x))) (* -1 (* 1 (/ 1 (/ 1 x))))) into (- (+ x (* 1/2 (/ y x)))) 2.939 * [backup-simplify]: Simplify (- (/ -1/2 (/ (/ 1 (- x)) (/ 1 (- y)))) (/ 1 (- x))) into (- (/ 1 x) (* 1/2 (/ x y))) 2.939 * [approximate]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in (x y) around 0 2.939 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y 2.939 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.939 * [taylor]: Taking taylor expansion of x in y 2.939 * [backup-simplify]: Simplify x into x 2.939 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.939 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 2.939 * [taylor]: Taking taylor expansion of 1/2 in y 2.939 * [backup-simplify]: Simplify 1/2 into 1/2 2.939 * [taylor]: Taking taylor expansion of (/ x y) in y 2.939 * [taylor]: Taking taylor expansion of x in y 2.939 * [backup-simplify]: Simplify x into x 2.939 * [taylor]: Taking taylor expansion of y in y 2.939 * [backup-simplify]: Simplify 0 into 0 2.939 * [backup-simplify]: Simplify 1 into 1 2.939 * [backup-simplify]: Simplify (/ x 1) into x 2.939 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in x 2.939 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.939 * [taylor]: Taking taylor expansion of x in x 2.939 * [backup-simplify]: Simplify 0 into 0 2.939 * [backup-simplify]: Simplify 1 into 1 2.939 * [backup-simplify]: Simplify (/ 1 1) into 1 2.939 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 2.939 * [taylor]: Taking taylor expansion of 1/2 in x 2.939 * [backup-simplify]: Simplify 1/2 into 1/2 2.939 * [taylor]: Taking taylor expansion of (/ x y) in x 2.939 * [taylor]: Taking taylor expansion of x in x 2.939 * [backup-simplify]: Simplify 0 into 0 2.940 * [backup-simplify]: Simplify 1 into 1 2.940 * [taylor]: Taking taylor expansion of y in x 2.940 * [backup-simplify]: Simplify y into y 2.940 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.940 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in x 2.940 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.940 * [taylor]: Taking taylor expansion of x in x 2.940 * [backup-simplify]: Simplify 0 into 0 2.940 * [backup-simplify]: Simplify 1 into 1 2.940 * [backup-simplify]: Simplify (/ 1 1) into 1 2.940 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 2.940 * [taylor]: Taking taylor expansion of 1/2 in x 2.940 * [backup-simplify]: Simplify 1/2 into 1/2 2.940 * [taylor]: Taking taylor expansion of (/ x y) in x 2.940 * [taylor]: Taking taylor expansion of x in x 2.940 * [backup-simplify]: Simplify 0 into 0 2.940 * [backup-simplify]: Simplify 1 into 1 2.940 * [taylor]: Taking taylor expansion of y in x 2.940 * [backup-simplify]: Simplify y into y 2.940 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.940 * [backup-simplify]: Simplify (+ 1 0) into 1 2.940 * [taylor]: Taking taylor expansion of 1 in y 2.940 * [backup-simplify]: Simplify 1 into 1 2.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.941 * [backup-simplify]: Simplify (+ 0 0) into 0 2.941 * [taylor]: Taking taylor expansion of 0 in y 2.941 * [backup-simplify]: Simplify 0 into 0 2.941 * [backup-simplify]: Simplify 1 into 1 2.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.942 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 2.942 * [backup-simplify]: Simplify (- (/ 1/2 y)) into (- (* 1/2 (/ 1 y))) 2.942 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (/ 1 y)))) into (- (* 1/2 (/ 1 y))) 2.942 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 y))) in y 2.942 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 2.942 * [taylor]: Taking taylor expansion of 1/2 in y 2.942 * [backup-simplify]: Simplify 1/2 into 1/2 2.942 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.942 * [taylor]: Taking taylor expansion of y in y 2.942 * [backup-simplify]: Simplify 0 into 0 2.942 * [backup-simplify]: Simplify 1 into 1 2.942 * [backup-simplify]: Simplify (/ 1 1) into 1 2.943 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.943 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.943 * [backup-simplify]: Simplify -1/2 into -1/2 2.943 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.944 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 2.944 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 2.944 * [backup-simplify]: Simplify (- 0) into 0 2.944 * [backup-simplify]: Simplify (+ 0 0) into 0 2.944 * [taylor]: Taking taylor expansion of 0 in y 2.944 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.945 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.945 * [backup-simplify]: Simplify (- 0) into 0 2.946 * [backup-simplify]: Simplify 0 into 0 2.946 * [backup-simplify]: Simplify 0 into 0 2.946 * [backup-simplify]: Simplify 0 into 0 2.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.946 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.947 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 2.947 * [backup-simplify]: Simplify (- 0) into 0 2.947 * [backup-simplify]: Simplify (+ 0 0) into 0 2.947 * [taylor]: Taking taylor expansion of 0 in y 2.947 * [backup-simplify]: Simplify 0 into 0 2.947 * [backup-simplify]: Simplify 0 into 0 2.947 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 (/ 1 (- y))) (/ 1 (- x)))) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ x (* 1/2 (/ y x)))) 2.948 * * * [progress]: simplifying candidates 2.949 * [simplify]: Simplifying: (- (log -1/2) (- (log x) (log y))) (- (log -1/2) (log (/ x y))) (log (/ -1/2 (/ x y))) (exp (/ -1/2 (/ x y))) (/ (* (* -1/2 -1/2) -1/2) (/ (* (* x x) x) (* (* y y) y))) (/ (* (* -1/2 -1/2) -1/2) (* (* (/ x y) (/ x y)) (/ x y))) (* (cbrt (/ -1/2 (/ x y))) (cbrt (/ -1/2 (/ x y)))) (cbrt (/ -1/2 (/ x y))) (* (* (/ -1/2 (/ x y)) (/ -1/2 (/ x y))) (/ -1/2 (/ x y))) (sqrt (/ -1/2 (/ x y))) (sqrt (/ -1/2 (/ x y))) (- -1/2) (- (/ x y)) (/ (* (cbrt -1/2) (cbrt -1/2)) (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ (cbrt -1/2) (cbrt (/ x y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (sqrt (/ x y))) (/ (cbrt -1/2) (sqrt (/ x y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ (cbrt -1/2) (/ (cbrt x) (cbrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ (cbrt -1/2) (/ (cbrt x) (sqrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (* (cbrt x) (cbrt x)) 1)) (/ (cbrt -1/2) (/ (cbrt x) y)) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (sqrt x) (* (cbrt y) (cbrt y)))) (/ (cbrt -1/2) (/ (sqrt x) (cbrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (sqrt x) (sqrt y))) (/ (cbrt -1/2) (/ (sqrt x) (sqrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ (sqrt x) 1)) (/ (cbrt -1/2) (/ (sqrt x) y)) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ 1 (* (cbrt y) (cbrt y)))) (/ (cbrt -1/2) (/ x (cbrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ 1 (sqrt y))) (/ (cbrt -1/2) (/ x (sqrt y))) (/ (* (cbrt -1/2) (cbrt -1/2)) (/ 1 1)) (/ (cbrt -1/2) (/ x y)) (/ (* (cbrt -1/2) (cbrt -1/2)) 1) (/ (cbrt -1/2) (/ x y)) (/ (* (cbrt -1/2) (cbrt -1/2)) x) (/ (cbrt -1/2) (/ 1 y)) (/ (sqrt -1/2) (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ (sqrt -1/2) (cbrt (/ x y))) (/ (sqrt -1/2) (sqrt (/ x y))) (/ (sqrt -1/2) (sqrt (/ x y))) (/ (sqrt -1/2) (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ (sqrt -1/2) (/ (cbrt x) (cbrt y))) (/ (sqrt -1/2) (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ (sqrt -1/2) (/ (cbrt x) (sqrt y))) (/ (sqrt -1/2) (/ (* (cbrt x) (cbrt x)) 1)) (/ (sqrt -1/2) (/ (cbrt x) y)) (/ (sqrt -1/2) (/ (sqrt x) (* (cbrt y) (cbrt y)))) (/ (sqrt -1/2) (/ (sqrt x) (cbrt y))) (/ (sqrt -1/2) (/ (sqrt x) (sqrt y))) (/ (sqrt -1/2) (/ (sqrt x) (sqrt y))) (/ (sqrt -1/2) (/ (sqrt x) 1)) (/ (sqrt -1/2) (/ (sqrt x) y)) (/ (sqrt -1/2) (/ 1 (* (cbrt y) (cbrt y)))) (/ (sqrt -1/2) (/ x (cbrt y))) (/ (sqrt -1/2) (/ 1 (sqrt y))) (/ (sqrt -1/2) (/ x (sqrt y))) (/ (sqrt -1/2) (/ 1 1)) (/ (sqrt -1/2) (/ x y)) (/ (sqrt -1/2) 1) (/ (sqrt -1/2) (/ x y)) (/ (sqrt -1/2) x) (/ (sqrt -1/2) (/ 1 y)) (/ 1 (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ -1/2 (cbrt (/ x y))) (/ 1 (sqrt (/ x y))) (/ -1/2 (sqrt (/ x y))) (/ 1 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ -1/2 (/ (cbrt x) (cbrt y))) (/ 1 (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ -1/2 (/ (cbrt x) (sqrt y))) (/ 1 (/ (* (cbrt x) (cbrt x)) 1)) (/ -1/2 (/ (cbrt x) y)) (/ 1 (/ (sqrt x) (* (cbrt y) (cbrt y)))) (/ -1/2 (/ (sqrt x) (cbrt y))) (/ 1 (/ (sqrt x) (sqrt y))) (/ -1/2 (/ (sqrt x) (sqrt y))) (/ 1 (/ (sqrt x) 1)) (/ -1/2 (/ (sqrt x) y)) (/ 1 (/ 1 (* (cbrt y) (cbrt y)))) (/ -1/2 (/ x (cbrt y))) (/ 1 (/ 1 (sqrt y))) (/ -1/2 (/ x (sqrt y))) (/ 1 (/ 1 1)) (/ -1/2 (/ x y)) (/ 1 1) (/ -1/2 (/ x y)) (/ 1 x) (/ -1/2 (/ 1 y)) (/ 1 (/ x y)) (/ (/ x y) -1/2) (/ -1/2 (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ -1/2 (sqrt (/ x y))) (/ -1/2 (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (/ -1/2 (/ (* (cbrt x) (cbrt x)) (sqrt y))) (/ -1/2 (/ (* (cbrt x) (cbrt x)) 1)) (/ -1/2 (/ (sqrt x) (* (cbrt y) (cbrt y)))) (/ -1/2 (/ (sqrt x) (sqrt y))) (/ -1/2 (/ (sqrt x) 1)) (/ -1/2 (/ 1 (* (cbrt y) (cbrt y)))) (/ -1/2 (/ 1 (sqrt y))) (/ -1/2 (/ 1 1)) (/ -1/2 1) (/ -1/2 x) (/ (/ x y) (cbrt -1/2)) (/ (/ x y) (sqrt -1/2)) (/ (/ x y) -1/2) (/ -1/2 x) (/ (exp (/ -1/2 (/ x y))) (exp x)) (log (- (/ -1/2 (/ x y)) x)) (exp (- (/ -1/2 (/ x y)) x)) (* (cbrt (- (/ -1/2 (/ x y)) x)) (cbrt (- (/ -1/2 (/ x y)) x))) (cbrt (- (/ -1/2 (/ x y)) x)) (* (* (- (/ -1/2 (/ x y)) x) (- (/ -1/2 (/ x y)) x)) (- (/ -1/2 (/ x y)) x)) (sqrt (- (/ -1/2 (/ x y)) x)) (sqrt (- (/ -1/2 (/ x y)) x)) (- (pow (/ -1/2 (/ x y)) 3) (pow x 3)) (+ (* (/ -1/2 (/ x y)) (/ -1/2 (/ x y))) (+ (* x x) (* (/ -1/2 (/ x y)) x))) (- x) (- (* (/ -1/2 (/ x y)) (/ -1/2 (/ x y))) (* x x)) (+ (/ -1/2 (/ x y)) x) (+ (sqrt (/ -1/2 (/ x y))) (sqrt x)) (- (sqrt (/ -1/2 (/ x y))) (sqrt x)) (+ (/ (sqrt -1/2) (sqrt (/ x y))) (sqrt x)) (- (/ (sqrt -1/2) (sqrt (/ x y))) (sqrt x)) (+ (/ (sqrt -1/2) (/ (sqrt x) (sqrt y))) (sqrt x)) (- (/ (sqrt -1/2) (/ (sqrt x) (sqrt y))) (sqrt x)) (- (/ -1/2 (/ x y)) x) (- x) (* -1/2 (/ y x)) (* -1/2 (/ y x)) (* -1/2 (/ y x)) (- (+ x (* 1/2 (/ y x)))) (- (+ x (* 1/2 (/ y x)))) (- (+ x (* 1/2 (/ y x)))) 2.950 * * [simplify]: iteration 0: 180 enodes 3.026 * * [simplify]: iteration 1: 447 enodes 3.170 * * [simplify]: iteration 2: 1728 enodes 3.751 * * [simplify]: iteration complete: 5001 enodes 3.751 * * [simplify]: Extracting #0: cost 112 inf + 0 3.756 * * [simplify]: Extracting #1: cost 1180 inf + 3 3.767 * * [simplify]: Extracting #2: cost 1528 inf + 462 3.778 * * [simplify]: Extracting #3: cost 1065 inf + 3376 3.798 * * [simplify]: Extracting #4: cost 173 inf + 10810 3.809 * * [simplify]: Extracting #5: cost 3 inf + 12507 3.820 * * [simplify]: Extracting #6: cost 0 inf + 12525 3.830 * [simplify]: Simplified to: (log (* (/ -1/2 x) y)) (log (* (/ -1/2 x) y)) (log (* (/ -1/2 x) y)) (pow (exp y) (/ -1/2 x)) (/ -1/8 (pow (/ x y) 3)) (/ -1/8 (pow (/ x y) 3)) (* (cbrt (* (/ -1/2 x) y)) (cbrt (* (/ -1/2 x) y))) (cbrt (* (/ -1/2 x) y)) (/ -1/8 (pow (/ x y) 3)) (sqrt (* (/ -1/2 x) y)) (sqrt (* (/ -1/2 x) y)) 1/2 (/ (- x) y) (/ (cbrt -1/2) (/ (cbrt (/ x y)) (/ (cbrt -1/2) (cbrt (/ x y))))) (/ (cbrt -1/2) (cbrt (/ x y))) (/ (cbrt -1/2) (/ (sqrt (/ x y)) (cbrt -1/2))) (/ (cbrt -1/2) (sqrt (/ x y))) (* (/ (* (* (cbrt -1/2) (cbrt y)) (cbrt y)) (cbrt x)) (/ (cbrt -1/2) (cbrt x))) (* (cbrt y) (/ (cbrt -1/2) (cbrt x))) (* (/ (cbrt -1/2) (cbrt x)) (* (cbrt -1/2) (/ (sqrt y) (cbrt x)))) (* (cbrt -1/2) (/ (sqrt y) (cbrt x))) (/ (/ (* (cbrt -1/2) (cbrt -1/2)) (cbrt x)) (cbrt x)) (/ (* (cbrt -1/2) y) (cbrt x)) (* (/ (cbrt -1/2) (/ (sqrt x) (cbrt -1/2))) (* (cbrt y) (cbrt y))) (/ (cbrt -1/2) (/ (sqrt x) (cbrt y))) (* (/ (cbrt -1/2) (sqrt x)) (* (cbrt -1/2) (sqrt y))) (/ (* (sqrt y) (cbrt -1/2)) (sqrt x)) (/ (cbrt -1/2) (/ (sqrt x) (cbrt -1/2))) (/ (* y (cbrt -1/2)) (sqrt x)) (* (* (* (cbrt -1/2) (cbrt -1/2)) (cbrt y)) (cbrt y)) (* (cbrt y) (/ (cbrt -1/2) x)) (* (* (sqrt y) (cbrt -1/2)) (cbrt -1/2)) (/ (cbrt -1/2) (/ x (sqrt y))) (* (cbrt -1/2) (cbrt -1/2)) (* (/ (cbrt -1/2) x) y) (* (cbrt -1/2) (cbrt -1/2)) (* (/ (cbrt -1/2) x) y) (/ (cbrt -1/2) (/ x (cbrt -1/2))) (* y (cbrt -1/2)) (/ (/ (sqrt -1/2) (cbrt (/ x y))) (cbrt (/ x y))) (/ (sqrt -1/2) (cbrt (/ x y))) (/ (sqrt -1/2) (sqrt (/ x y))) (/ (sqrt -1/2) (sqrt (/ x y))) (* (/ (/ (sqrt -1/2) (cbrt x)) (cbrt x)) (* (cbrt y) (cbrt y))) (/ (* (cbrt y) (sqrt -1/2)) (cbrt x)) (/ (* (sqrt y) (sqrt -1/2)) (* (cbrt x) (cbrt x))) (/ (* (sqrt y) (sqrt -1/2)) (cbrt x)) (/ (/ (sqrt -1/2) (cbrt x)) (cbrt x)) (* (/ (sqrt -1/2) (cbrt x)) y) (/ (* (sqrt -1/2) (* (cbrt y) (cbrt y))) (sqrt x)) (/ (* (cbrt y) (sqrt -1/2)) (sqrt x)) (/ (* (sqrt -1/2) (sqrt y)) (sqrt x)) (/ (* (sqrt -1/2) (sqrt y)) (sqrt x)) (/ (sqrt -1/2) (sqrt x)) (* (/ (sqrt -1/2) (sqrt x)) y) (* (sqrt -1/2) (* (cbrt y) (cbrt y))) (/ (sqrt -1/2) (/ x (cbrt y))) (* (sqrt -1/2) (sqrt y)) (* (/ (sqrt -1/2) x) (sqrt y)) (sqrt -1/2) (* (/ (sqrt -1/2) x) y) (sqrt -1/2) (* (/ (sqrt -1/2) x) y) (/ (sqrt -1/2) x) (* y (sqrt -1/2)) (/ 1 (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ -1/2 (cbrt (/ x y))) (/ 1 (sqrt (/ x y))) (/ -1/2 (sqrt (/ x y))) (* (/ (cbrt y) (cbrt x)) (/ (cbrt y) (cbrt x))) (* (/ -1/2 (cbrt x)) (cbrt y)) (/ (sqrt y) (* (cbrt x) (cbrt x))) (/ (* (sqrt y) -1/2) (cbrt x)) (/ (/ 1 (cbrt x)) (cbrt x)) (/ (* y -1/2) (cbrt x)) (/ (* (cbrt y) (cbrt y)) (sqrt x)) (/ (* -1/2 (cbrt y)) (sqrt x)) (/ (sqrt y) (sqrt x)) (/ (* (sqrt y) -1/2) (sqrt x)) (/ 1 (sqrt x)) (* (/ -1/2 (sqrt x)) y) (* (cbrt y) (cbrt y)) (/ (* -1/2 (cbrt y)) x) (sqrt y) (* (sqrt y) (/ -1/2 x)) 1 (* (/ -1/2 x) y) 1 (* (/ -1/2 x) y) (/ 1 x) (* y -1/2) (/ y x) (/ x (* y -1/2)) (/ -1/2 (* (cbrt (/ x y)) (cbrt (/ x y)))) (/ -1/2 (sqrt (/ x y))) (* (/ -1/2 (cbrt x)) (/ (* (cbrt y) (cbrt y)) (cbrt x))) (/ -1/2 (* (cbrt x) (/ (cbrt x) (sqrt y)))) (/ -1/2 (* (cbrt x) (cbrt x))) (* (* (/ -1/2 (sqrt x)) (cbrt y)) (cbrt y)) (/ (* (sqrt y) -1/2) (sqrt x)) (/ -1/2 (sqrt x)) (* (* -1/2 (cbrt y)) (cbrt y)) (* (sqrt y) -1/2) -1/2 -1/2 (/ -1/2 x) (/ x (* y (cbrt -1/2))) (/ x (* y (sqrt -1/2))) (/ x (* y -1/2)) (/ -1/2 x) (exp (- (* (/ -1/2 x) y) x)) (log (- (* (/ -1/2 x) y) x)) (exp (- (* (/ -1/2 x) y) x)) (* (cbrt (- (* (/ -1/2 x) y) x)) (cbrt (- (* (/ -1/2 x) y) x))) (cbrt (- (* (/ -1/2 x) y) x)) (pow (- (* (/ -1/2 x) y) x) 3) (sqrt (- (* (/ -1/2 x) y) x)) (sqrt (- (* (/ -1/2 x) y) x)) (- (/ -1/8 (pow (/ x y) 3)) (pow x 3)) (+ (* x x) (* (* (/ -1/2 x) y) (+ (* (/ -1/2 x) y) x))) (- x) (- (/ (/ 1/4 (/ x y)) (/ x y)) (* x x)) (+ x (* (/ -1/2 x) y)) (+ (sqrt x) (sqrt (* (/ -1/2 x) y))) (- (sqrt (* (/ -1/2 x) y)) (sqrt x)) (+ (sqrt x) (/ (sqrt -1/2) (sqrt (/ x y)))) (- (/ (sqrt -1/2) (sqrt (/ x y))) (sqrt x)) (+ (sqrt x) (/ (* (sqrt -1/2) (sqrt y)) (sqrt x))) (- (/ (* (sqrt -1/2) (sqrt y)) (sqrt x)) (sqrt x)) (- (* (/ -1/2 x) y) x) (- x) (/ (* y -1/2) x) (/ (* y -1/2) x) (/ (* y -1/2) x) (+ (- x) (/ (* y -1/2) x)) (+ (- x) (/ (* y -1/2) x)) (+ (- x) (/ (* y -1/2) x)) 3.832 * * * [progress]: adding candidates to table 4.231 * [progress]: [Phase 3 of 3] Extracting. 4.231 * * [regime]: Finding splitpoints for: (# # #) 4.231 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 4.231 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 4.278 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # #) 4.313 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # #) 4.386 * * * * [regimes]: Trying to branch on y from (# # #) 4.455 * * * * [regimes]: Trying to branch on x from (# # #) 4.521 * * * [regime]: Found split indices: #